Identify the number of significant figures for 40060

Question

BlackTom AI · Accepted Answer

Question restatement: Determine the number of significant figures in the value 40060.

Since there are no answer choices provided, we will analyze the concept and apply it to 40060.

Key idea: In a whole number without a decimal point, trailing zeros may or may not be significant. The standard convention is:
- All nonzero digits are significant.
- Zeros between nonzero digits are significant (e.g., 405 has three sig figs).
- Trailing zeros to the right of the last nonzero digit are only significant if there is a decimal point present in the number or if a bar over a zero (in some conventions) indicates significance. In plain notation, 40060 typically conveys that the zeros at the end are not necessarily significant unless indicated otherwise.

Applying this to 40060:
- The nonzero digits are 4 and 6, which are definitely significant.
- The zeros between 4 and 6 (the two middle zeros) are captive zeros between nonzero digits and are significant, giving us 4 significant figures so far: 4, 0, 0, 6.
- The final trailing zero at the end is a trailing zero after a nonzero digit but without a decimal point, so it is commonly treated as not significant unless the value is written with a decimal (e.g., 40060. or 40060.0 would indicate different precision).

Therefore, the conventional interpretation is that 40060 has 4 significant figures: the digits 4, 0, 0, and 6. The final trailing zero is not counted as significant unless additional notation (such as a decimal point or a bar) clarifies the intended precision.

If one were told the value was exactly known to the ones place, or if it were written as 40060. with a decimal point, the count would differ, illustrating how notation affects significant figures. In the absence of such notation, 4 sig figs is the standard answer here.

FFP001 Threshold Quiz 2 | LA007

Identify the number of significant figures for 40060

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